将闭Riemann子流形保角变形成极小子流形(英文)

Conformal Deformation of a Close Riemannian Submanifold to Minimal Submanifold

在本文中，通过外围空间的适当保角变形，我们证明了，每个Riemann子流形可以被认作一个极小子流形，我们还研究了这样得到的子流形的稳定性，定理2和3推广了Schoen和S．TYan[2]的结论．

In this paper,wc shall show that by a suitable conformal deformation of the ambient space, every close Ricmannian submanifold can be regarde as a minimal submanifoled. We also study the stability of so gotten minimal submanifold, our conclusion generalize of Schoen and S. T. Yau's[2]